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10532342322112 = 26136722820019
BaseRepresentation
bin1001100101000100000010…
…0001011101001111000000
31101021212211001020011022211
42121101000201131033000
52340030214113301422
634222254040311504
72134636155413152
oct231210041351700
941255731204284
1010532342322112
1133a0817732846
1212212a4172594
135b5270a10cb0
14285aa78c4ad2
15133e85131577
hex9944085d3c0

10532342322112 has 84 divisors (see below), whose sum is σ = 22848777766920. Its totient is φ = 4788525924864.

The previous prime is 10532342322101. The next prime is 10532342322133. The reversal of 10532342322112 is 21122324323501.

It is a happy number.

It is a super-2 number, since 2×105323423221122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2324839 + ... + 5144857.

It is an arithmetic number, because the mean of its divisors is an integer number (272009259130).

Almost surely, 210532342322112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10532342322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11424388883460).

10532342322112 is an abundant number, since it is smaller than the sum of its proper divisors (12316435444808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10532342322112 is an equidigital number, since it uses as much as digits as its factorization.

10532342322112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820178 (or 2820101 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 10532342322112 its reverse (21122324323501), we get a palindrome (31654666645613).

The spelling of 10532342322112 in words is "ten trillion, five hundred thirty-two billion, three hundred forty-two million, three hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 67 104 134 208 268 416 536 832 871 1072 1742 2144 3484 4288 4489 6968 8978 13936 17956 27872 35912 55744 58357 71824 116714 143648 233428 287296 466856 933712 1867424 2820019 3734848 5640038 11280076 22560152 36660247 45120304 73320494 90240608 146640988 180481216 188941273 293281976 377882546 586563952 755765092 1173127904 1511530184 2346255808 2456236549 3023060368 4912473098 6046120736 9824946196 12092241472 12659065291 19649892392 25318130582 39299784784 50636261164 78599569568 101272522328 157199139136 164567848783 202545044656 329135697566 405090089312 658271395132 810180178624 1316542790264 2633085580528 5266171161056 10532342322112